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Finding the Third Proportional to 399,660 and 598,275

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Solution

The third proportional to 399,660 and 598,275 is: 895,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,660 : 598,275 = 598,275 : x
  2. Step 2: Convert to fraction form
    399,660/598,275 = 598,275/x
  3. Step 3: Cross multiply
    399,660x = 598,275 × 598,275
  4. Step 4: Simplify right side
    399,660x = 357,932,975,625
  5. Step 5: Solve for x
    x = 357,932,975,625/399,660
  6. Step 6: Final answer
    x = 895,593.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.